8th Class Mathematics Introduction to Graphs

  • question_answer 13)                 Draw a graph for the following. (i)
    Side of square (in cm) 2 3 3.5 5 6
    Perimeter (in cm) 8 12 14 20 24
    Is it a linear graph?
    Side of square (in cm) 2 3 4 5 6
    Perimeter (in \[c{{m}^{2}}\]) 4 9 16 25 36
    Is it a linear graph?

    Answer:

                    (i) Scale: Horizontal: 1 unit = 1 cm Vertical: 1 unit = 4 cm ? Mark side of the square (in cm) on horizontal axis. ? Mark perimeter (in cm) on vertical axis. ? Plot the points (2, 8), (3, 12), (3.5, 14) (5, 20) and (6, 24). ? Join the points. We get a linear graph.                 (ii) ? Scale: Horizontal: 2 units = 2 cm Vertical: 1 unit = 2 cm ? Mark side of the square (in cm) on horizontal axis. ? Mark area (in \[c{{m}^{2}}\]) on vertical axis. ? Plot the points (2, 4) (3, 9), (4, 16), (5, 25) and (6, 36). ? Join the points. The graph we get is not linear.


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